600edo

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← 599edo 600edo 601edo →
Prime factorization 23 × 3 × 52
Step size 2 ¢ 
Fifth 351\600 (702 ¢) (→ 117\200)
Semitones (A1:m2) 57:45 (114 ¢ : 90 ¢)
Consistency limit 9
Distinct consistency limit 9

The 600 equal divisions of the octave (600edo), or the 1200(-tone) equal temperament (600tet, 600et) when viewed from a regular temperament perspective, divides the octave into 600 equal parts of exactly 2 cents each. Because the step size is 2 cents, it is the smallest EDO where every possible interval is tuned within 1 cent of error.

Theory

Approximation of prime harmonics in 600edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.045 -0.314 -0.826 +0.682 -0.528 -0.955 +0.487 -0.274 +0.423 +0.964
Relative (%) +0.0 +2.2 -15.7 -41.3 +34.1 -26.4 -47.8 +24.3 -13.7 +21.1 +48.2
Steps
(reduced)
600
(0)
951
(351)
1393
(193)
1684
(484)
2076
(276)
2220
(420)
2452
(52)
2549
(149)
2714
(314)
2915
(515)
2973
(573)

600edo has the same mapping as 1200edo in the 5-limit.